36363120 has 80 divisors (see below), whose sum is σ = 113897472. Its totient is φ = 9596160.

The previous prime is 36363113. The next prime is 36363127. The reversal of 36363120 is 2136363.

36363120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36363113) and next prime (36363127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36363120² = 2644552992268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23985 + ... + 25455.

Almost surely, 2^36363120 is an apocalyptic number.

36363120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56948736).

36363120 is an abundant number, since it is smaller than the sum of its proper divisors (77534352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36363120 is a wasteful number, since it uses less digits than its factorization.

36363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 36363120 is about 6030.1840767923. The cubic root of 36363120 is about 331.2991943076.

Adding to 36363120 its reverse (2136363), we get a palindrome (38499483).

The spelling of 36363120 in words is "thirty-six million, three hundred sixty-three thousand, one hundred twenty".